25x^2-4y^2-72y-424=0

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Solution for 25x^2-4y^2-72y-424=0 equation:


Simplifying
25x2 + -4y2 + -72y + -424 = 0

Reorder the terms:
-424 + 25x2 + -72y + -4y2 = 0

Solving
-424 + 25x2 + -72y + -4y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '424' to each side of the equation.
-424 + 25x2 + -72y + 424 + -4y2 = 0 + 424

Reorder the terms:
-424 + 424 + 25x2 + -72y + -4y2 = 0 + 424

Combine like terms: -424 + 424 = 0
0 + 25x2 + -72y + -4y2 = 0 + 424
25x2 + -72y + -4y2 = 0 + 424

Combine like terms: 0 + 424 = 424
25x2 + -72y + -4y2 = 424

Add '72y' to each side of the equation.
25x2 + -72y + 72y + -4y2 = 424 + 72y

Combine like terms: -72y + 72y = 0
25x2 + 0 + -4y2 = 424 + 72y
25x2 + -4y2 = 424 + 72y

Add '4y2' to each side of the equation.
25x2 + -4y2 + 4y2 = 424 + 72y + 4y2

Combine like terms: -4y2 + 4y2 = 0
25x2 + 0 = 424 + 72y + 4y2
25x2 = 424 + 72y + 4y2

Divide each side by '25'.
x2 = 16.96 + 2.88y + 0.16y2

Simplifying
x2 = 16.96 + 2.88y + 0.16y2

Reorder the terms:
-16.96 + x2 + -2.88y + -0.16y2 = 16.96 + 2.88y + 0.16y2 + -16.96 + -2.88y + -0.16y2

Reorder the terms:
-16.96 + x2 + -2.88y + -0.16y2 = 16.96 + -16.96 + 2.88y + -2.88y + 0.16y2 + -0.16y2

Combine like terms: 16.96 + -16.96 = 0.00
-16.96 + x2 + -2.88y + -0.16y2 = 0.00 + 2.88y + -2.88y + 0.16y2 + -0.16y2
-16.96 + x2 + -2.88y + -0.16y2 = 2.88y + -2.88y + 0.16y2 + -0.16y2

Combine like terms: 2.88y + -2.88y = 0.00
-16.96 + x2 + -2.88y + -0.16y2 = 0.00 + 0.16y2 + -0.16y2
-16.96 + x2 + -2.88y + -0.16y2 = 0.16y2 + -0.16y2

Combine like terms: 0.16y2 + -0.16y2 = 0.00
-16.96 + x2 + -2.88y + -0.16y2 = 0.00

The solution to this equation could not be determined.

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